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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-29/8, b>=a > For fixed z and a=-29/8, b=-3/8





http://functions.wolfram.com/07.23.03.bgh6.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(3/8), 7/2, z] == (1/(129610635 z^(5/2))) (64 (-4 Sqrt[z] (-3393 + 39585 z - 886256 z^2 - 1002018 z^3 + 113643 z^4 - 20815 z^5 + 2070 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((18096 - 226577 z + 2206204 z^2 + 1811698 z^3 - 4225468 z^4 + 495167 z^5 - 87400 z^6 + 8280 z^7) Sin[(3 ArcSin[Sqrt[z]])/4])))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02